School Curriculum-based Mathematics
AoPS Pre-Algebra
5th~7th Grades
Our Pre-Algebra course covers fundamental concepts and problem solving skills for in the following topics: arithmetic, prime numbers, factors and multiples, decimals and fractions, ratios and proportions, exponents, percents, square roots, word problems, equations and functions, counting and probabilities and more.
Algebra (Regular, Advanced or AoPS Algebra)
6th~8th Grades
Our Algebra course covers the following topics: linear equations and inequalities, exponents, polynomials, radicals, ratios and proportions, factoring, quadratic equations and functions, permutations and combinations, and more. We have two levels for Algebra: Regular and Advanced.
Geometry (Honors, Competition)
7th~10th Grades
Our Geometry course covers the following topics: proofs, angles, triangles, quadrilaterals, polygons, circles, three-dimensional figures, triangle trigonometry, and coordinate geometry. We have two different courses for Geometry: Honors ("school") Geometry and Competition Geometry. In Competition Geometry, students learn more advanced topics and solve challenging problems that may be seen in AMC10/12.
Algebra 2
7th~8th Grades
Our Algebra 2 course covers the following topics: quadratic equations and functions, systems of linear equations and inequalities, factoring, polynomials, rational functions, sequences and series, exponential and logarithmic functions, trigonometry, introductory statistics, and more.
(Advanded) Analysis 1 (advanced algebra 2)
8th~9th Grades
Topics covered: functions and transformations, polynomials, rational functions, exponential and logarithmic functions, triangle and circle trigonometry, sequences and series, logic, etc.
(Advanded) Analysis 2 (pre-calculus)
9th~10th Grades
Topics covered: various functions, advanced trigonometry, limits and continuity, matrices, vectors (in R2 & R3), complex numbers, polar equations, conic sections, introductory calculus, etc.
Calculus AB/BC
9th~12th Grades
Calculus is the study of how things change. Its concepts have numerous applications in science and engineering. Our course covers the following topics:
(AB/BC common): limits, derivatives, integration, integration techniques, differential equations, application of derivatives and integrals
(BC only) series, calculus topics related to vectors, parametric equations, polar equations, and conics, other advanced topics